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Finding the Fourth Proportional to 7,647.41, 11,470.82 and 2,101.34

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Solution

The fourth proportional to 7,647.41, 11,470.82 and 2,101.34 is: 3,151.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,647.41 : 11,470.82 = 2,101.34 : x
  2. Step 2: Convert to fraction form
    7,647.41/11,470.82 = 2,101.34/x
  3. Step 3: Cross multiply
    7,647.41x = 11,470.82 × 2,101.34
  4. Step 4: Simplify right side
    7,647.41x = 24,104,111.07
  5. Step 5: Solve for x
    x = 24,104,111.07/7,647.41
  6. Step 6: Final answer
    x = 3,151.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.